Time rescaling of nonadiabatic transitions

TL;DR

This paper explores the application of fast-forward scaling theory to nonadiabatic transitions in quantum systems, deriving mathematical expressions for additional driving and relating it to shortcuts to adiabaticity.

Contribution

It introduces a new method for controlling nonadiabatic transitions using fast-forward scaling, with explicit formulas and connections to existing adiabatic techniques.

Findings

Derived mathematical expressions for additional driving.

Established a relation between fast-forward scaling and counterdiabatic driving.

Provided a framework for manipulating nonadiabatic transitions in quantum control.

Abstract

Applying time-dependent driving is a basic way of quantum control. Driven systems show various dynamics as its time scale is changed due to the different amount of nonadiabatic transitions. The fast-forward scaling theory enables us to observe slow (or fast) time-scale dynamics during moderate time by applying additional driving. Here we discuss its application to nonadiabatic transitions. We derive mathematical expression of additional driving and also find a formula for calculating it. Moreover, we point out relation between the fast-forward scaling theory for nonadiabatic transitions and shortcuts to adiabaticity by counterdiabatic driving.